Public key encryption with RSACryptoServiceProvider

Question

I have been over an article at CodeProject a for a while that explains how to encrypt and decrypt using the RSA provider:

RSA Private Key Encryption

While the old version from 2009 was buggy, the new 2012 version (with System.Numerics.BigInteger support) seems more reliable. What this version lacks though is a way to encrypt with a public key and decrypt using the private key.

So, I tried it myself but get garbage when I decrypt. I'm not familiar with the RSA provider, so I'm in the dark here. It's hard to find more info on how this is supposed to work.

Does anyone see what is wrong with this? The following is ENcryption with a PUBLIC key:

// Add 4 byte padding to the data, and convert to BigInteger struct
BigInteger numData = GetBig( AddPadding( data ) );
RSAParameters rsaParams = rsa.ExportParameters( false );
//BigInteger D = GetBig( rsaParams.D ); //only for private key
BigInteger Exponent = GetBig( rsaParams.Exponent );
BigInteger Modulus = GetBig( rsaParams.Modulus );
BigInteger encData = BigInteger.ModPow( numData, Exponent, Modulus );    
return encData.ToByteArray();

Do I use the big "D" from the provider when I do this? Probably not since it's the public key which doesn't have the "D".

Then the counterpart (DEcrypting using the PRIVATE key):

BigInteger numEncData = new BigInteger( cipherData );

RSAParameters rsaParams = rsa.ExportParameters( true );
BigInteger D = GetBig( rsaParams.D );
//BigInteger Exponent = GetBig( rsaParams.Exponent );
BigInteger Modulus = GetBig( rsaParams.Modulus );

BigInteger decData = BigInteger.ModPow( numEncData, D, Modulus );

byte[] data = decData.ToByteArray();
byte[] result = new byte[ data.Length - 1 ];
Array.Copy( data, result, result.Length );
result = RemovePadding( result );

Array.Reverse( result );
return result;

Do I need the "D" or the Exponent here?

Obviously I need the crypto to work both ways private-public public-private. Any help is much appreciated!

Answer 1

Take this encode/decode example

        byte[] toEncryptData = Encoding.ASCII.GetBytes("hello world");

        //Generate keys
        RSACryptoServiceProvider rsaGenKeys = new RSACryptoServiceProvider();
        string privateXml = rsaGenKeys.ToXmlString(true);
        string publicXml = rsaGenKeys.ToXmlString(false);

        //Encode with public key
        RSACryptoServiceProvider rsaPublic = new RSACryptoServiceProvider();
        rsaPublic.FromXmlString(publicXml);
        byte[] encryptedRSA = rsaPublic.Encrypt(toEncryptData, false);
        string EncryptedResult = Encoding.Default.GetString(encryptedRSA);


        //Decode with private key
        var rsaPrivate = new RSACryptoServiceProvider();
        rsaPrivate.FromXmlString(privateXml);
        byte[] decryptedRSA = rsaPrivate.Decrypt(encryptedRSA, false);
        string originalResult = Encoding.Default.GetString(decryptedRSA);

Answer 2

here is an example for you:

    public static void rsaPlayground()
    {
        byte[] data = new byte[] { 1, 2, 3, 4, 5 };
        RSACryptoServiceProvider csp = new RSACryptoServiceProvider();//make a new csp with a new keypair
        var pub_key = csp.ExportParameters(false); // export public key
        var priv_key = csp.ExportParameters(true); // export private key

        var encData = csp.Encrypt(data, false); // encrypt with PKCS#1_V1.5 Padding
        var decBytes = MyRSAImpl.plainDecryptPriv(encData, priv_key); //decrypt with own BigInteger based implementation
        var decData = decBytes.SkipWhile(x => x != 0).Skip(1).ToArray();//strip PKCS#1_V1.5 padding

    }

    public class MyRSAImpl 
    {

        private static byte[] rsaOperation(byte[] data, BigInteger exp, BigInteger mod)
        {
            BigInteger bData = new BigInteger(
                data    //our data block
                .Reverse()  //BigInteger has another byte order
                .Concat(new byte[] { 0 }) // append 0 so we are allways handling positive numbers
                .ToArray() // constructor wants an array
            );
            return 
                BigInteger.ModPow(bData, exp, mod) // the RSA operation itself
                .ToByteArray() //make bytes from BigInteger
                .Reverse() // back to "normal" byte order
                .ToArray(); // return as byte array

            /*
             * 
             * A few words on Padding:
             * 
             * you will want to strip padding after decryption or apply before encryption 
             * 
             */
        }

        public static byte[] plainEncryptPriv(byte[] data, RSAParameters key) 
        {
            MyRSAParams myKey = MyRSAParams.fromRSAParameters(key);
            return rsaOperation(data, myKey.privExponent, myKey.Modulus);
        }
        public static byte[] plainEncryptPub(byte[] data, RSAParameters key)
        {
            MyRSAParams myKey = MyRSAParams.fromRSAParameters(key);
            return rsaOperation(data, myKey.pubExponent, myKey.Modulus);
        }
        public static byte[] plainDecryptPriv(byte[] data, RSAParameters key)
        {
            MyRSAParams myKey = MyRSAParams.fromRSAParameters(key);
            return rsaOperation(data, myKey.privExponent, myKey.Modulus);
        }
        public static byte[] plainDecryptPub(byte[] data, RSAParameters key)
        {
            MyRSAParams myKey = MyRSAParams.fromRSAParameters(key);
            return rsaOperation(data, myKey.pubExponent, myKey.Modulus);
        }

    }

    public class MyRSAParams
    {
        public static MyRSAParams fromRSAParameters(RSAParameters key)
        {
            var ret = new MyRSAParams();
            ret.Modulus = new BigInteger(key.Modulus.Reverse().Concat(new byte[] { 0 }).ToArray());
            ret.privExponent = new BigInteger(key.D.Reverse().Concat(new byte[] { 0 }).ToArray());
            ret.pubExponent = new BigInteger(key.Exponent.Reverse().Concat(new byte[] { 0 }).ToArray());

            return ret;
        }
        public BigInteger Modulus;
        public BigInteger privExponent;
        public BigInteger pubExponent;
    }

Answer 3

Take this encode/decode example

        byte[] toEncryptData = Encoding.ASCII.GetBytes("hello world");

        //Generate keys
        RSACryptoServiceProvider rsaGenKeys = new RSACryptoServiceProvider();
        string privateXml = rsaGenKeys.ToXmlString(true);
        string publicXml = rsaGenKeys.ToXmlString(false);

        //Encode with public key
        RSACryptoServiceProvider rsaPublic = new RSACryptoServiceProvider();
        rsaPublic.FromXmlString(publicXml);
        byte[] encryptedRSA = rsaPublic.Encrypt(toEncryptData, false);
        string EncryptedResult = Encoding.Default.GetString(encryptedRSA);


        //Decode with private key
        var rsaPrivate = new RSACryptoServiceProvider();
        rsaPrivate.FromXmlString(privateXml);
        byte[] decryptedRSA = rsaPrivate.Decrypt(encryptedRSA, false);
        string originalResult = Encoding.Default.GetString(decryptedRSA);